Modified fluctuation-dissipation and Einstein relation at non-equilibrium steady states

Details Modified fluctuation-dissipation and Einstein relation at non-equilibrium steady states Modified fluctuation-dissipation and Einstein relation at non-equilibrium steady states

2012-01-22

arxiv.org/abs/1201.4525v1

Phys. Rev. E 85, 021102 (2012)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 3 figures; accepted for publication in Phys Rev E

Scientific paper

10.1103/PhysRevE.85.021102

Starting from the pioneering work of G. S. Agarwal [Zeitschrift f\"ur Physik 252, 25 (1972)], we present a unified derivation of a number of modified fluctuation-dissipation relations (MFDR) that relate response to small perturbations around non-equilibrium steady states to steady-state correlations. Using this formalism we show the equivalence of velocity forms of MFDR derived using continuum Langevin and discrete master equation dynamics. The resulting additive correction to the Einstein relation is exemplified using a flashing ratchet model of molecular motors.

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